Triangles having equal areas and having one side of one of the triangles, equal to one side of the other, have their corresponding altitudes equal. GIVEN : Two triangles `A B C` and `P Q R` such that: `a r( A B C)=A R( P Q R)` (ii)`B=P Q`

Triangles having equal areas and having one side of one of the triangle; equal to one side of the other; have their corresponding sides equal.

Fill in the Blanks: Triangles with equal area and having any side of one equal to any side of the other have equal corresponding______

If Delta A B C ~ Delta P Q R such that a r( A B C)=4a r( P Q R)dot If B C=12 c m , then Q R=

Without drawing the triangles, state the correspondence between the sides and the angles of the following pairs of congruent triangles: (a) A B C~= P Q R (b) A B C~=Q R P

In two similar triangles A B C and P Q R , if their corresponding altitudes A D and P S are in the ratio 4:9, find the ratio of the areas of triangle A B C and triangle P Q R .

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

Consider a triangle PQR having sides of lengths p,q,r opposite to the angles P,Q,R respectively. Then which of the following statements is (are) true?

Triangles on the same base and between the same parallels are equal in area. GIVEN : Two triangles A B C and P B C on the same base B C and between the same parallel lines B C and A Pdot TO PROVE : a r( A B C)=a r( P B C) CONSTRUCTION : Through B , draw B D C A intersecting P A produced in D and through C , draw C Q B P , intersecting line A P in Q.